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Finding the Fourth Proportional to 1,039.96, 1,560.12 and 519.98

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Solution

The fourth proportional to 1,039.96, 1,560.12 and 519.98 is: 780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.96 : 1,560.12 = 519.98 : x
  2. Step 2: Convert to fraction form
    1,039.96/1,560.12 = 519.98/x
  3. Step 3: Cross multiply
    1,039.96x = 1,560.12 × 519.98
  4. Step 4: Simplify right side
    1,039.96x = 811,232.78
  5. Step 5: Solve for x
    x = 811,232.78/1,039.96
  6. Step 6: Final answer
    x = 780.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.